Sentence examples for establishing the corresponding from inspiring English sources

Both academic and practically motivated engineering structures have been thoroughly investigated by rigorously establishing the corresponding structural stability profiles, so the applicability and accuracy of the proposed method can be critically justified.

After establishing the corresponding criterions for both correlation and stopband properties, the unified PAR-constrained problem is formulated and then transformed into an unconstrained minimization problem via sequence synthesis.

Section 3 presents the proof of the main result by establishing the corresponding asymptotic lower and upper bounds.

First, we model the beam structure with piezoelectric actuators and establish the corresponding state-coupled equation.

Second, both IMF components and residue is applied to establish the corresponding BPNN models.

The established axial stress profiles were regressed to establish the corresponding interfacial shear stress (ISS) profiles at each fatigue level.

In particular, we deal with the celebrated Armijo-type gradient methods and establish the corresponding convergence properties.

The last part establishes the corresponding inequalities for measures on R+ with the reference example of the Marcenko Pastur distribution.

Although the micro-mechanical formulation of the stress tensor is well established, the corresponding formulation for the strain tensor has proven to be much more evasive, still being the subject of much discussion.

The maximum emission intensities of the markers were used to evaluate the correlation of retinol concentration with fluorescent markers and to establish the corresponding prediction models of retinol concentration.

This kind of reference fluid is presently on demand by oil industries and the International Association for Transport Properties is developing efforts aiming to select appropriate candidates and to establish the corresponding reference data.